| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 843417 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 9 Pages |
Abstract
Contrary to the second-order case, biharmonic heat kernels are sign-changing. A deep knowledge of their behaviour may however allow us to prove positivity results for solutions of the Cauchy problem. We establish further properties of these kernels, we prove some Lorch–Szegö-type monotonicity results and we give some hints on how to obtain similar results for higher order polyharmonic parabolic problems.
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Authors
Filippo Gazzola, Hans-Christoph Grunau,